Conformal Laplacian and Conical Singularities
نویسندگان
چکیده
We study a behavior of the conformal Laplacian operatorLg on a manifold with tame conical singularities: when each singularity is given as a cone over a product of the standard spheres. We study the spectral properties of the operator Lg on such manifolds. We describe the asymptotic of a general solution of the equation Lgu = Qu α with 1 ≤ α ≤ n+2 n−2 near each singular point. In particular, we derive the asymptotic of a Yamabe metric near such singularity.
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